What is the Greatest Common Factor of 38700 and 38705?

Greatest common factor (GCF) of 38700 and 38705 is 5.

GCF(38700,38705) = 5

We will now calculate the prime factors of 38700 and 38705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38700 and 38705.

How to find the GCF of 38700 and 38705?

We will first find the prime factorization of 38700 and 38705. After we will calculate the factors of 38700 and 38705 and find the biggest common factor number .

Step-1: Prime Factorization of 38700

Prime factors of 38700 are 2, 3, 5, 43. Prime factorization of 38700 in exponential form is:

38700 = 2² × 3² × 5² × 43¹

Step-2: Prime Factorization of 38705

Prime factors of 38705 are 5, 7741. Prime factorization of 38705 in exponential form is:

38705 = 5¹ × 7741¹

Step-3: Factors of 38700

List of positive integer factors of 38700 that divides 38700 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 43, 45, 50, 60, 75, 86, 90, 100, 129, 150, 172, 180, 215, 225, 258, 300, 387, 430, 450, 516, 645, 774, 860, 900, 1075, 1290, 1548, 1935, 2150, 2580, 3225, 3870, 4300, 6450, 7740, 9675, 12900, 19350

Step-4: Factors of 38705

List of positive integer factors of 38705 that divides 38700 without a remainder.

1, 5, 7741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38700 and 38705. The biggest common factor number is the GCF number.
So the greatest common factor 38700 and 38705 is 5.

Also check out the Least Common Multiple of 38700 and 38705